Unsuspended Connective $E$-Theory

Otgonbayar Uuye

Unsuspended Connective $E$-Theory

K-Theory and Homology 2011-04-20 v2 Operator Algebras

Authors: Otgonbayar Uuye

Abstract

We prove connective versions of results by Shulman [Shu10] and Dadarlat-Loring [DL94]. As a corollary, we see that two separable $C^*$ -algebras of the form $C_0(X) \otimes A$ , where $X$ is a based, connected, finite CW-complex and $A$ is a unital properly infinite algebra, are $\bu$ -equivalent if and only if they are asymptotic matrix homotopy equivalent.

Keywords

c*-algebras finite-dimensional algebras associative algebras

Cite

@article{arxiv.1104.3478,
  title  = {Unsuspended Connective $E$-Theory},
  author = {Otgonbayar Uuye},
  journal= {arXiv preprint arXiv:1104.3478},
  year   = {2011}
}

Comments

v1 9 pages; v2 minor changes

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